Write the equivalent fraction, the reduced fraction, and the decimal equivalent for 45%. Jenny solved this problem and her work is shown below. What mistake did she make? 45% =45/100 =9/20= 4.5

Respuesta :

Answer:

The decimal equivalent is not correct. The decimal point is in the wrong position. The decimal point should be to the left of the 4, so the correct answer is 0.45.  

Step-by-step explanation:

Sample Response.

The equivalent fraction = [tex]\frac{45}{100}[/tex], the reduced fraction[tex]=\frac{9}{20}[/tex], and the decimal equivalent = [tex]0.45[/tex] for 45%.

What is equivalent fraction?

" Equivalent fraction is defined as the fraction with different values in the numerator and the denominator but represents the same fraction."

According to the question,

Given value,

45%

Equivalent fraction of 45% = [tex]\frac{45}{100}[/tex]

Reduced fraction of 45%  [tex]= \frac{(9 )(5)}{(20)(5)}[/tex]

                                            [tex]=\frac{9}{20}[/tex],

Decimal equivalent of 45%  [tex]= \frac{45}{100}[/tex]

                                               = [tex]0.45[/tex]

Jenny solved this problem her equivalent fraction and reduced fraction are correct but in decimal fraction she made a mistake of putting decimal at wrong place.

[tex]4.5 = \frac{45}{10} \neq \frac{45}{100}[/tex]

Hence, the equivalent fraction = [tex]\frac{45}{100}[/tex], the reduced fraction[tex]=\frac{9}{20}[/tex], and the decimal equivalent = [tex]0.45[/tex] for 45%.

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